On a new generalization of a Perov-type F-contraction with application to a semilinear operator system

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springernature

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This manuscript aims to present new results about the generalized F-contraction of Hardy-Rogers-type mappings in a complete vector-valued metric space, and to demonstrate the fixed-point theorems for single and pairs of generalized F-contractions of Hardy-Rogers-type mappings. The established results represent a significant development of numerous previously published findings and results in the existing body of literature. Furthermore, to ensure the practicality and effectiveness of our findings across other fields, we provide an application that demonstrates a unique solution for the semilinear operator system within the Banach space.

Açıklama

Anahtar Kelimeler

Fixed point; Vector-valued metric space; Semilinear operators; Generalized F-contraction of a Hardy-Rogers-type mapping

Kaynak

Fixed Point Theory and Algorithms For Sciences and Engineering

WoS Q Değeri

N/A

Scopus Q Değeri

Q1

Cilt

2024

Sayı

1

Künye